MathPlotAI Logo MathPlotAI

Rotating a Triangle to Form a 3D Shape

Rotating a Triangle to Form a 3D Shape
Loading the math board and drawing, please wait…
2016-01-28 03:01
TriangleSolid Geometry
In collections Shape Rotations Shape Rotations Shape Rotations
This example demonstrates the 3D shape formed by rotating a triangle around an axis. Key mathematical concepts include solid geometry and geometric construction. It uses commands such as Polygon, Rotate, and Cone in GeoGebra. Suitable for high school math education or student learning of solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(B, A, C) → poly1, c, b, a_1
  5. Line(B, C) → h
  6. Rotate(B, (-r), yAxis) → B'
  7. Rotate(A, (-r), yAxis) → A'
  8. Rotate(C, (-r), yAxis) → C'
  9. Polygon(B', A', C') → poly1', c', b', a'
  10. Circle(yAxis, C) → d
  11. Cone(A, B, b) → e, f, g